Home / 750-799.50

Finding the Third Proportional to 750 and 799.50

Calculator

Solution

The third proportional to 750 and 799.50 is: 852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    750 : 799.50 = 799.50 : x
  2. Step 2: Convert to fraction form
    750/799.50 = 799.50/x
  3. Step 3: Cross multiply
    750x = 799.50 × 799.50
  4. Step 4: Simplify right side
    750x = 639,200.25
  5. Step 5: Solve for x
    x = 639,200.25/750
  6. Step 6: Final answer
    x = 852.27

Related Problems

Find third proportional to 375 and 399.75
Half scale
Find third proportional to 1,500 and 1,599
Double scale
Find third proportional to 752 and 802
Similar ratio
Find third proportional to 1,125 and 1,199.25
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.